Mixtures of Distributions by the Poisson Distribution of Order K

✍ Scribed by Dr. A. N. Philippou

• Publisher: John Wiley and Sons
• Year: 1989
• Tongue: English
• Weight: 353 KB
• Volume: 31
• Category: Article
• ISSN: 0323-3847
• DOI: 10.1002/bimj.4710310109

✦ Synopsis

The Poisson-binomial, the Poisson-negative binomial (or Pascal) and Neyman's Type A distribution, which are Poisson mixtures of the binomial, the negative binomial and the Poisson distribution, respectively, have received a lot of attention in statiatiad literature [see e.g. firn and GUBLAND (1981, 1962), ANSCOMBE (1950), and N ~N (1939)l. In the present paper, their respective generalizations are introduced and briefly studied, when the Poisson distribution of order k [see Brmm~on (1983). PHILIPpou, GEOBGHIOU and PH~LIPPOU (1983), and CHARALAM-BIDES (198S)l replaces the Poisson distribution in its mixing role.